Which of the relations below is a function?

{(2,3), (3,4), (5,1), (6,2), (2,4)}

{(2,3), (3,4), (5,1), (6,2), (3,3)}

{(2,3), (3,4), (5,1), (6,2), (7,3)}

Answer:

13.5 minutes

Step-by-step explanation:

We can divide the final temperature to the rate of change to find the time it will take.

-10.8 ÷ -0.8 = 13.5

Check if needed.

13.5 * -0.8 = -10.8

Best of Luck!

Answer: 13.5 minutes

Step-by-step explanation:

We have to divide the temperature you need to reach by the temperature than rate changes at every minute.

-10.8 ÷ -0.8 = 13.5

The answer is 13.5 minutes. Hope this helps!

The measure of the angle between the end of the shadow and the vertical side of the building is approximately 71 degrees.

Given the building is 290 feet tall and casts a 100 foot shadow.

Let x be the angle formed between the end of the shadow and the vertical side of the building.

Therefore, we can construct the following diagram;

From the diagram;

The tangent function relates the angle and the opposite side of a right triangle.

Therefore;

Tangent = opposite/adjacent

Tangent x = opposite/adjacent

Tangent x = 290/100

We can now take the inverse tangent of both sides;

x = tan^-1 (290/100)

x = 71.57 degrees, correct to two decimal places.

Therefore, the measure of the angle between the end of the shadow and the vertical side of the building is approximately 71 degrees.

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Answer:0

Step-by-step explanation:

Answer:

120.

Step-by-step explanation:

1*2*3*4*5 = 120.

Answer:

Step-by-step explanation:

In this scenario, the variable x represents the total number of apples that Alex has eaten. Since Carlos has eaten half as many apples as Alex this would be represented as 0.5 and is why it is being multiplied by the variable x. The 2 in this scenario represents the tangerines that Carlos has also eaten, while the 4 represents the total number of fruits that Carlos has eaten.

Answer:x= 2

Step-by-step explanation:

X+16/3= 3x

3(x+16/3)=3(3x) [in order to cancel out the divided by 3]

X+16=9x

16=8x

2=x

Answer:

About 7 users per question

Step-by-step explanation:

Just divide the number of users helped by the number of questions answered.

The triple integration of ∭E xy dV and The Solid Tetrahedron With Vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3), is 8 / 5.

What is integration?

When infinitesimal data are combined, concepts like displacement, area, and volume can be described by assigning numerical values to the functions that make up an integral. Integration is the procedure for locating integrals.

Given:

∭E xy dV  and The Solid Tetrahedron With Vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3),

Calculate the equation of plane passing through the vertices (0,0,0),(8,0,0),(0,1,0),(0,0,3) as shown below,

x / 8 + y / 1 + z / 3 = 1

z = 24 - 3x -24y / 8

Put z = 0

y = 1 - 1 / 8x

Put y = o

x = 8

Calculate the integral as shown below,

\(\int \int\int_E xydV = \int _0^8 \int _0^{1-x/8} \int _0^{{24-3x-24y}/8} xy\ dz\ dy\ dx\)

∫∫∫E = \(1/8 \int _0^8 [24xy^2 / 2 - 3x^2y^2 / 2 - 24xy^3 / 3]^{1-x /8}dx\)

∫∫∫E = 1 / 8 × 64 / 5

∫∫∫E = 8 / 5

Thus, the triple integral is 8 / 5.

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Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.

Let's denote the running time of the algorithm for an input of size n as t(n).

For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:

t (1) = C1

For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.

Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.

Considering these factors, we can write the recurrence relation for the running time as:

t(n) = 2t(2n/3) + C2

Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:

c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2

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Answer: $216

Step-by-step explanation:

If you divide 90 by 5 then you get 18 so 18 multiplied by 12 is 216.

When a power is raised to an exponent, the power is multiplied by the exponent twice. Applying this rule to the given expression, we are able to simplify it down to a single value: 1.

To simplify the expression, we use the property of exponents that states that the exponent of a power to a power is equal to the product of the two exponents. Applying this to our expression, we get:

((y-3)-6y-3) / (y-6)-1 = (y(-3)×(-6)y-3) / (y(-6)×(-1))

Simplifying, we get: y18 / y6 = y12

In summary, when a power is raised to an exponent, the power is multiplied by the exponent twice. Applying this rule to the given expression, we are able to simplify it down to a single value: 1.

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The point that is equally spaced from a triangle's three vertices is known as the circumcenter.Triangle ABC's equilateral circumcenter is (-5, 2) .

The point that is equally spaced from a triangle's three vertices is known as the circumcenter.

The triangle's three vertices are all located at the center of the circle.We may insert the coordinate values for the triangle ABC's vertices A(-5,3), B(5,8), and C(-5.8) into the formulas above to determine its circumcenter.

x = (8 - 3) * (-5.8^2 + 3^2 - 5^2 - 8^2)

- (3 - 8) * (-5^2 + 3^

2 - (-5) (-5)

^2 -3^2) / 2 * (3 - (-5))

* (8 - 3) - (3 - 8) * (-5.8 - (-5))

x = (-5) (-5)

y = (3 - (-5.8))

* (-5^2 + 3^2 - (-5)^2 -3^2)

- (-5 - (-5))

* (3^2 + 3^2 - (-5.8) (-5.8)

^2 - 8^2)

/ 2 * (3 - 8) (3 - 8)

* (-5 - (-5))

- (3 - 8) * (3 - (-5.8))

y = 2

The circumcenter of triangle ABC is hence (-5, 2)

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Answer:

Step-by-step explanation:

Mean = sum÷n = (4+5+x+11+7+5) / 6 = (32+x) / 6

We're told that mean = 7.6

So

(32+x) / 6 = 7.6

32+x = 7.6 × 6 = 45.6

X = 45.6 - 32 = 13.6

The manager is considering urging the receptionist to retire or, if retirement is rejected, firing them due to previous performance issues. To address the situation, the manager needs to formulate hypotheses to explain the call issues and devise a plan to test them.

Several hypotheses can be considered to account for the dropped or misrouted incoming calls. These hypotheses could include technical issues with the phone system, insufficient training or knowledge of the receptionist, hearing impairment affecting the ability to handle calls effectively, or a lack of focus due to personal distractions.

To test these hypotheses using the double movement of reflective thought, the manager can follow a structured approach. Firstly, they can gather data and evidence related to the call issues, such as logging instances of misrouted or dropped calls, tracking response times, and documenting specific complaints. This data will help identify patterns and potential causes.

Next, the manager can conduct interviews or hold discussions with the receptionist to gather information about their experiences, challenges, and any potential barriers to effectively handling calls. This dialogue can provide insights into the receptionist's technical knowledge, training needs, or any personal factors affecting their performance.

Additionally, the manager can involve the IT department to evaluate the phone system for technical glitches or misconfigurations that may contribute to call issues. They can conduct tests, monitor call routing processes, and assess the overall functionality of the system.

Furthermore, the manager may consider providing additional training or support to address any identified knowledge gaps or skill deficiencies. This could include customer service training, phone system training, or even accommodating the receptionist's hearing impairment with appropriate assistive devices.

By systematically testing these hypotheses and gathering relevant data, the office manager can make an informed decision about the underlying causes of the call issues and take appropriate actions to improve customer service without immediately resorting to retirement or termination.

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Best curvilinear trendline for given data is a power trendline with an R² value of (insert calculated R² value here). The equation of trendline is y = (insert estimated value for a here) *\(x^(insert estimated value for b here).\) This equation allows us to estimate labor hours for various helicopter number.

To find the best power trendline, we can use statistical techniques such as regression analysis to estimate the parameters that yield the highest R² value. R², also known as the coefficient of determination, measures the proportion of the total variation in the dependent variable that can be explained by the model. A higher R² value indicates a better fit of the trendline to the data.

The given power trendline equation is \(: y = a * x^b\). Here, 'y' represents the labor hours, 'x' denotes the helicopter number, and 'a' and 'b' are the constants to be determined. Once these constants are estimated, the resulting equation can be used to predict labor hours for different helicopter numbers with reasonable accuracy.

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The simplified form of the given expression is 9b

From the question, we are to simplify the given expression

The given expression is 3√b^2

This expression can be properly written as

(3√b)²

To simplify the expression,

First, we will expand the expression by applying one of the rules of exponents

(3√b)²

Applying the rule of exponent

3² × (√b)²

9 × b

= 9b

Hence,

The simplified expression is 9b

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The volume of the square pyramid-shaped roof with a height of 5 feet and a side length of 6 feet is 60 cubic feet.

A square pyramid has a square base and four triangular sides that come together to form a single point. To calculate the volume of a square pyramid, you can use the formula: 1/3 x Base x Height, where the base is the area of the square base and the height is the height of the pyramid.

In the given scenario, the rooftops of the village are shaped like square pyramids. The height of the roof is 5 feet and the length of the sides is 6 feet. Let us calculate the volume of the roof using the formula mentioned above:

The base of the square pyramid = side * side= 6 * 6= 36 sq. ft, Height of the square pyramid = 5 ft. Volume of the square pyramid= 1/3 * Base * Height= 1/3 * 36 sq. ft * 5 ft= 60 cubic feet. Therefore, the volume of the roof is 60 cubic feet.

Summary: A square pyramid has a square base and four triangular sides that come together to form a single point. The formula to calculate the volume of a square pyramid is 1/3 x Base x Height. The rooftops of the village are shaped as square pyramids with a height of 5 feet and the length of the sides is 6 feet. To calculate the volume of the roof, we can use the formula and find the volume of the roof. The volume of the roof is 60 cubic feet.

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Answer:

54.8

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2.

Plug the given values in to get 61^2+b^2=82^2

61^2 is 3,721 and 82^2 is 6,724.

6,724-3,721 is 3,003.

The square root of 3,003, rounded to a reasonable value, is 54.8.

The length of AC is 54.8.

If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be: D. .95.

A confidence interval is also referred to as level of confidence and it can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.

For instance, the confidence interval at 95% is given by p - E < p < p + E

Since the confidence interval for the mean of a population is at 95%, the confidence coefficient would be calculated by simply dividing the confidence interval by 100:

Confidence coefficient = 95/100

Confidence coefficient = 0.95

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Twice a number decreased by four is less than 8 is x< 6.

2x - 4 < 8

2x < 8 + 4

2x < 12

x < 12 / 2

x < 6

Inequality refers to the unequal distribution of resources, opportunities, and outcomes among individuals or groups in a society. It can manifest in various forms, including economic inequality, social inequality, gender inequality, and racial inequality. Economic inequality refers to the unequal distribution of wealth and income, where some individuals or groups have access to more resources and opportunities than others.

Social inequality refers to the unequal distribution of social status and power, which can lead to marginalized groups being excluded from certain societal benefits. Gender and racial inequality refer to the unequal treatment and opportunities that certain genders or races face in society. Inequality can have negative consequences on individuals and society, including lower levels of social trust, reduced economic growth, and increased social tensions.

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Complete Question: -

Twice a number decreased by four is less than 8 is equation or inequality

Answer:

348 feet

Step-by-step explanation:

Answer:

-348

or 348 feet under the oceans surface

Step-by-step explanation:

since your already 100 feet below the surface, if you go down(descends) another 248 feet. You subtract 248 from -100, you get -348.

So your 348 feet below sea level.

hope this helps!

Answer:

14 + 17k

Step-by-step explanation:

k + 1/3(42+48k)

k + {let's distribute here}

      1/3(42+48k)

       42/3 + 48k/3

         14 + 16k

{reinsert into full equation :)}

k + 14 + 16k

14 + k + 16k {combine like terms!!!}

14 + 17k

Answer:

17k+14

Step-by-step explanation:

k+1/3(14+16k) Simplify expression

k+(14+16k) Remove parentheses

k+14+16k Collect like terms

17k+14 Solution

Answer:

1.

x<1/5y + -6/5

2.

x>1/3y + 4/3

Statement true about equation is the slope is 19. starting at $20, the cost will increase by $19 per month.

In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given

A professional bowler wanted to gather data about the cost of local bowling leagues in the area. after collecting and plotting the data, it was determined that the average bowling league consists of a one-time registration fee and a monthly fee modeled by the

Equation

y = 19x + 20

Equation of slope intercept

y = mx + b

m = slope

When x is 0

y = 19(0) + 20

y = 20

When x is 1

y = 19(1) + 20

y = 39

Your point plot is (0,20), (1,39), etc. because it is the place where y is when x is at 0.

Statement true about equation,

B) the slope is 19. starting at $20, the cost will increase by $19 per month.

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False. Analysts should definitely worry about the users' perceptions of the new system during acceptance testing. Acceptance testing is the final stage of software development where the system is tested by end-users to ensure that it meets the specified requirements and is ready for deployment.

During acceptance testing, analysts need to ensure that users find the system easy to use, efficient, and effective in performing the intended tasks. If the users perceive the system to be difficult to use or inefficient, it can lead to user resistance, decreased productivity, and increased costs. Therefore, analysts need to gather feedback from users during acceptance testing and make necessary adjustments to ensure that the system meets the user's expectations. By doing so, analysts can ensure a successful deployment and adoption of the new system.

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(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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Answer: 44 degrees, x equals

Step-by-step explanation: Attached below is my work.

Answer:

42 meters

Step-by-step explanation:

Given

See attachment for complete question

Required

Calculate distance FC

FC is calculated as:

\(FC = Path\ 1 + Path\ 2\)

Where

\(Path\ 1 = FB\)

\(Path\ 2 = BC\)

Considering \(\triangle FEB\), we have:

\(FB^2 = FE^2 + BE^2\) --- Pythagoras theorem

Where

\(FE = FD - BA\)

\(FE = 22m - 15m\)

\(FE = 7m\)

and

\(BE = CD - CA\)

\(BE = 32m - 8m\)

\(BE = 24m\)

So:

\(FB^2 = FE^2 + BE^2\)

\(FB^2 = 7^2 +24^2\)

\(FB^2 = 49 +576\)

\(FB^2 = 625\)

Take square roots of both sides

\(FB = 25\)

So:

\(Path\ 1 = 25\)

Considering \(\triangle BAC\), we have:

\(BC^2 = BA^2 + AC^2\) --- Pythagoras theorem

Where:

\(BA = 15\) and \(AC = 8\)

So, we have:

\(BC^2 = 15^2 + 8^2\)

\(BC^2 = 225 + 64\)

\(BC^2 = 289\)

Take square roots of both sides

\(BC = 17\)

So;

\(Path\ 2= 17\)

Recall that:

\(FC = Path\ 1 + Path\ 2\)

\(FC = 25 + 17\)

\(FC = 42\)

Answer: Red ribbon.

Step-by-step explanation:

When it comes to fractions, if all the fractions being compared have the same numerator, the fraction with the smallest denominator is the largest.

In this question, all the fractions have a numerator of 1 so the longest one will be the one with the smallest denominator which is 1/3. The red ribbon is the longest.

Another way is to convert them to percentages:

1/6 * 100% = 16.7%

1/3 * 100% = 33.3%

1/4 * 100% = 25%

Red ribbon is again the largest.